Identify the sequence of transformations that will carry ΔABC→ΔA"B"C". Give your answer in the form of a composition transformation mapping.
(1 point)
Responses
(x,y)→(x−4,−y)
left parenthesis x comma y right parenthesis right arrow left parenthesis x minus 4 comma negative y right parenthesis
(x,y)→(x,−y−4)
open paren x comma y close paren rightarrow open paren x comma negative y minus 4 close paren
(x,y)→(x+4,−y)
left parenthesis x comma y right parenthesis right arrow left parenthesis x plus 4 comma negative y right parenthesis
(x,y)→(x,−y+4)
open paren x comma y close paren rightarrow open paren x comma negative y plus 4 close paren
The sequence of transformations that will carry ΔABC to ΔA"B"C" is:
1. (x, y) → (x + 4, -y)
This transformation translates the points of ΔABC to the right by 4 units and reflects them across the x-axis.
2. (x, -y) → (x, -y + 4)
This transformation translates the points of ΔABC upwards by 4 units.
So, the composition transformation mapping can be written as:
(x, y) → (x + 4, -y) → (x, -y + 4)